Abstract
Let G be a graph with vertex set V(G) and edge set E(G), the labeling function of the edge f+: E(G) → {0, 1} is induced by the labeling function of the point f : V(G) → {0, 1}, where v f (i) and e f (i) denotes the number of vertices and edges labeled i. A vertex labeling f of a graph G is said to be friendly if | v f (1) − v f (0) |≤ 1. This article discusses the value range of v f (0) value in the case of n being odd and even. The full edge friendly index sets of Fan is given by using the decomposition of graph structure and the method of point labeling interchange.